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3 years ago

Solve the equation 9p+14=2p+35 show your work

Mathematics

2 answers:

Alla [95]3 years ago

8 0

Answer:

p=3

Step-by-step explanation:

9p+14=2p+35

Subtract 2p from each side

9p-2p+14=2p-2p+35

7p +14 = 35

Subtract 14 from each side

7p +14-14 = 35-14

7p = 21

Divide by 7

7p/7= 21/7

p=3

m_a_m_a [10]3 years ago

7 0

$p = 3$ ✅

Step-by-step explanation:

$9p +14 = 2 p + 35 \\ ⇢ 9p - 2p = 35 - 14 \\ ⇢ 7p = 21 \\ ⇢ p = \frac{21}{7} \\ ⇢ p = 3$

To verify:-

$9p + 14 = 2p + 35 \\ ⇢ 9 \times 3 + 14 = 2 \times 3 + 35 \\ ⇢ 27 + 14 = 6 + 35 \\ ⇢ 41 = 41 \\ ⇢ L.H.S.=R. H. S$

Hence verified.

$\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆$

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Dos motos, A y B, toman la salida en una carrera de 90 km. La moto A realiza el recorrido con una velocidad media inferior en 20

aleksandr82 [10.1K]

Answer:

motorcycle A: 180 km/h

motorcycle B: 200 km/h

Step-by-step explanation:

To solve this question we need to write a system of equations for A and B, using the equation:

distance = speed * time

The speed of A is 20 less than the speed of B, so:

speedA = speedB - 20

And the time A traveled is 3 minutes (0.05 hours) more than B's time, so:

timeA = timeB + 0.05

Then, using the distance equation, we have that:

distanceB = speedB * timeB

90 = speedB * timeB

distanceA = speedA * timeA

90 = (speedB - 20) * (timeB + 0.05)

90 = speedB * timeB + 0.05 * speedB - 20*timeB - 1

90 = 90 + 0.05 * speedB - 20*timeB - 1

20*timeB = 0.05 * speedB - 1

timeB = (speedB - 20)/400

using this timeB in the distance equation, we have:

90 = speedB * (speedB - 20)/400

90 * 400 = speedB^2 - 20*speedB

speedB^2 - 20*speedB - 36000 = 0

Solving this quadratic equation, we have speedB = 200 km/h

And the speedA is:

speedA = speedB - 20 = 200 - 20 = 180 km/h

6 0

3 years ago

Can someone pls help me!!!

max2010maxim [7]

Answer:

It will equally 2 because you need to change the 3 into a 9 because you can't add fractions without having the same common demometer

Step-by-step explanation:

4 0

3 years ago

An expression is shown below: 2x3y + 18xy − 10x2y − 90y Part A: Rewrite the expression by factoring out the greatest common fact

SCORPION-xisa [38]

Answer:

Part A : 2y( x³ + 9x - 5x² - 45 ), Part B : 2y( x - 5 )( x² + 9 )

Step-by-step explanation:

Part A : Let's break every term down here to their " prime factors ", and see what is common among them,

2x³y + 18xy − 10x²y − 90y -

2x³y = 2 $*$ x³ $*$ y,

18xy = 2 $*$ 3 $*$ 3 $*$ x $*$ y,

− 10x²y = 2 $*$ - 5 $*$ x² $*$ y, - so as you can see for this example I purposely broke down - 10 into 2 and - 5. I could have placed the negative on the 2, but as that value was must likely common among all the terms, I decided to place it on the 5. The same goes for " − 90y. " I placed the negative there on the 5 once more.

− 90y = 2 $*$ - 5 $*$ 3 $*$ 3 $*$ y

The terms common among each term are 2 and y. Therefore, the GCF ( greatest common factor ) is 2x. Let's now factor the expression using this value.

2y( x³ + 9x - 5x² - 45 )

Part B : Let's simply factor this entire expression. Of course starting with the " factored " expression : 2y( x³ + 9x - 5x² - 45 ),

$2y\left(x^3+9x-5x^2-45\right)$ - Factor out " $(x^3+9x-5x^2-45\right))$ " by grouping,

$\left(x^3-5x^2\right)+\left(9x-45\right)$ - Factor 9 from 9x - 45 and x² from x³ - 5x²,

$9\left(x-5\right)+x^2\left(x-5\right)$ - Factor out common term x - 5,

$\left(x-5\right)\left(x^2+9\right)$ - And our solution is thus 2y( x - 5 )( x² + 9 )

3 0

4 years ago

Help I don’t understand

OverLord2011 [107]

Rotation about a point does not change any dimensions. C'D' = CD = 2.8 units.

8 0

4 years ago

What is 20% of 75? x = 15 x = 15 x = 20 x = 20 x = 150 x = 150 x = 95 x = 95

nydimaria [60]

Answer:

Step-by-step explanation:

7 0

3 years ago

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